All in all, I think I'd have to vote a 4. That's because its entire premise is actually silly ('what if humanity fundamentally bettered itself and we invented a lot of technology that at the moment seems contrary to fundamental scientific principles / magical and we inhabit a galaxy that contains a lot of species that are peculiarly much like us (e.g. humanoids, at same stage of technological development, and ... <etc>').
So you're saying humanity shouldn't have evolved beyond caveman stage because it's silly to evolve?
Some of their gizmos are pure fantasy, meshed with more possible sci-fi possibilities. But they invented the ideas that became computer tablets, LCD flat panels, etc, etc...
It takes less time to hire a human and slap molded latex on their foreheads than to train an octopus to recite technobabble-infused dialogue...

Of course, a lot of of Science Fiction shares such tropes in order to create a setting that is still somewhat recognisable to us so that wouldn't be Star Treks fault as such.
Even cavemen would recognize somewhat the future setting on screen. But they wouldn't want to take calculus at age seven either.

And of course, within that "silly" premise there still are a lot of episodes that deal with "serious" themes.
If you want a silly premise, look up "Space: 1999". Didn't stop it from making a few compelling episodes in season one. Would making it silly for season two have been any improvement? (Nope. Look at "Lost in Space", which had...)
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